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In this paper, we discuss the multiresolution analysis generated by finite scaling functions φ 1 , φ 2 ,... , φ, r in L 2 ( R ). We also consider the direct wavelet decomposition and direct wavelet packet decomposition in L 2 ( R ). Besides, we obtain some results about (dual) nonorthogonal wavelet packet as well as the stability of the basis generating the packet. At last, we give an example of nonorthogonal wavelet packets of multiplicity r by using fractal interpolation functions.
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Gang Chen (2001) studied this question.
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